From the question, we can see that we have two box-and-whisker plots. One of them represents the test score for Jake and the other the test scores of Ryan.
In a box-and-whisker plot, we have the following information:
We can see the following information from Jake and Ryan as follows:
The interquartile range (IQR) is the difference between Q3 and Q1.
Jake's Information
• Median = about 86
,
• First Quartile (Q1) = 80
,
• Third Quartile (Q3) = 90
,
• Interquartile range (IQR) = Q3 - Q1 = 90 - 80 = 10
Ryan's Information
• Median = 75
,
• First Quartile (Q1) = 70
,
• Third Quartile (Q3) = 85
,
• Interquartile range (IQR) = Q3 - Q1 = 85 - 70 = 15
Now, in summary, therefore, we can say that:
• Ryan's median test score (75) is ,less than, Jake's median test score (86).
,
• The interquartile range of Ryan's test score (15) is ,greater than, the interquartile range of Jake's test scores (10).
[Hence, we have to select less than in the first part of the question, and greater than in the second part of the question.]
